Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 464, 5841 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 464, 5841 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 464, 5841 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 464, 5841 is 1.
HCF(464, 5841) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 464, 5841 is 1.
Step 1: Since 5841 > 464, we apply the division lemma to 5841 and 464, to get
5841 = 464 x 12 + 273
Step 2: Since the reminder 464 ≠ 0, we apply division lemma to 273 and 464, to get
464 = 273 x 1 + 191
Step 3: We consider the new divisor 273 and the new remainder 191, and apply the division lemma to get
273 = 191 x 1 + 82
We consider the new divisor 191 and the new remainder 82,and apply the division lemma to get
191 = 82 x 2 + 27
We consider the new divisor 82 and the new remainder 27,and apply the division lemma to get
82 = 27 x 3 + 1
We consider the new divisor 27 and the new remainder 1,and apply the division lemma to get
27 = 1 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 464 and 5841 is 1
Notice that 1 = HCF(27,1) = HCF(82,27) = HCF(191,82) = HCF(273,191) = HCF(464,273) = HCF(5841,464) .
Here are some samples of HCF using Euclid's Algorithm calculations.
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 464, 5841?
Answer: HCF of 464, 5841 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 464, 5841 using Euclid's Algorithm?
Answer: For arbitrary numbers 464, 5841 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.